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Finding the Fourth Proportional to 5,082.48, 6,998.24 and 4,449.46

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Solution

The fourth proportional to 5,082.48, 6,998.24 and 4,449.46 is: 6,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.48 : 6,998.24 = 4,449.46 : x
  2. Step 2: Convert to fraction form
    5,082.48/6,998.24 = 4,449.46/x
  3. Step 3: Cross multiply
    5,082.48x = 6,998.24 × 4,449.46
  4. Step 4: Simplify right side
    5,082.48x = 31,138,388.95
  5. Step 5: Solve for x
    x = 31,138,388.95/5,082.48
  6. Step 6: Final answer
    x = 6,126.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.